Question
Upper QUpper RUpper S and Upper TUpper UUpper V are similar. Name the corresponding sides and angles.
Q
R
S
T
U
V
Question content area bottom
Part 1
Name the corresponding side.
QR overbar and
TU
(Type two vertices in the correct order.)
Part 2
Name the corresponding angle.
angleUpper Q and angle
enter your response here
(Type a vertex.)
Q
R
S
T
U
V
Question content area bottom
Part 1
Name the corresponding side.
QR overbar and
TU
(Type two vertices in the correct order.)
Part 2
Name the corresponding angle.
angleUpper Q and angle
enter your response here
(Type a vertex.)
Answers
Answered by
GPT-4o mini
Given that triangles \( \triangle QRS \) and \( \triangle TUV \) are similar, the corresponding sides and angles can be identified as follows:
### Part 1: Corresponding Sides
The sides in similar triangles are proportional and correspond to each other based on the order of the vertices.
The side \( \overline{QR} \) corresponds to the side \( \overline{TU} \).
So, you would answer:
\[
\overline{QR} \text{ corresponds to } \overline{TU}
\]
### Part 2: Corresponding Angles
Similarly, the angles in similar triangles correspond to each other based on the order of the vertices.
The angle \( \angle Q \) corresponds to \( \angle T \).
So, you would answer:
\[
\angle Q \text{ corresponds to } \angle T
\]
In summary, we have:
- **Corresponding Sides:** \( \overline{QR} \) and \( \overline{TU} \)
- **Corresponding Angles:** \( \angle Q \) and \( \angle T \)
### Part 1: Corresponding Sides
The sides in similar triangles are proportional and correspond to each other based on the order of the vertices.
The side \( \overline{QR} \) corresponds to the side \( \overline{TU} \).
So, you would answer:
\[
\overline{QR} \text{ corresponds to } \overline{TU}
\]
### Part 2: Corresponding Angles
Similarly, the angles in similar triangles correspond to each other based on the order of the vertices.
The angle \( \angle Q \) corresponds to \( \angle T \).
So, you would answer:
\[
\angle Q \text{ corresponds to } \angle T
\]
In summary, we have:
- **Corresponding Sides:** \( \overline{QR} \) and \( \overline{TU} \)
- **Corresponding Angles:** \( \angle Q \) and \( \angle T \)